For the given situation identify the independent and dependent variables and then find a reasonable?

A well thought out example on dependent and indepedendent variables.

It depends on the amount of fuel x, how far the scooter will go. Thus, the amount x is the independent and the distance y is the dependent variable.

As the gas tank holds 2.5 gal fuel, and will eventually dry out, the domain is:
0 <= x <= 2.5 , or to fit the order of answer D) 2.5 >= x >= 0.

In order to obtain the range of the function value, just insert the boundary values of x stated as the domain. It will, well, range from 0 miles (using no fuel) to the maximum distance (using all the fuel). The scooter can go 65 miles / 1 gal. As the corresponding function can be written:
y = 65x , with the domain 2.5 >= x >= 0,

the range is 65*0 <= y <= 65*2.5 (=162.5)

There is no reference to time in the problem description. Shopping time is an undefined variable. Answer option C), therefore, holds the FALSE statement.